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We employ Monte Carlo simulations to study a stochastic Lotka-Volterra model on a two-dimensional square lattice with periodic boundary conditions. If the (local) prey carrying capacity is finite, there exists an extinction threshold for…

种群与进化 · 定量生物学 2016-04-20 Sheng Chen , Uwe C. Täuber

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

统计力学 · 物理学 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

统计力学 · 物理学 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

其他凝聚态物理 · 物理学 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

For ageing systems, quenched onto a critical temperature $T=T_c$ such that the dominant noise comes from the thermal bath, with a non-conserved order-parameter and in addition with dynamical exponent ${z}=2$, the form of the two-time…

统计力学 · 物理学 2025-12-08 Malte Henkel , Stoimen Stoimenov

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

凝聚态物理 · 物理学 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

Behavior of two-time autocorrelation during the phase separation in solid binary mixtures are studied via numerical solutions of the Cahn-Hilliard equation as well as Monte Carlo simulations of the Ising model. Results are analyzed via…

统计力学 · 物理学 2015-09-02 Jiarul Midya , Suman Majumder , Subir K. Das

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

统计力学 · 物理学 2009-09-28 Federico Corberi , Leticia F. Cugliandolo

We use large-scale Monte Carlo simulations to obtain comprehensive results for domain growth and aging in the random field XY model in dimensions $d=2,3$. After a deep quench from the paramagnetic phase, the system orders locally via…

统计力学 · 物理学 2021-10-26 Ramgopal Agrawal , Manoj Kumar , Sanjay Puri

Aging in kinetics of three different phase transitions, viz., magnetic, binary solid and single component fluid, have been studied via Monte Carlo and molecular dynamics simulations in three space dimensions with the objective of…

统计力学 · 物理学 2015-06-15 Suman Majumder , Subir K. Das

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical…

无序系统与神经网络 · 物理学 2012-10-05 Pavel V. Prudnikov , Maria A. Medvedeva

We have revisited the non-conserved (or model A) critical dynamics of the two-dimensional Ising model through numerical simulations of its lattice and continuum formulations --Glauber dynamics and the timedependent Ginzburg-Landau (TDGL)…

统计力学 · 物理学 2025-12-02 Héctor Vaquero del Pino , Rodolfo Cuerno

The non-equilibrium self-consistent generalized Langevin equation theory of colloid dynamics is used to describe the non-stationary aging processes occurring in a suddenly quenched model colloidal liquid with hard-sphere plus short-ranged…

软凝聚态物质 · 物理学 2015-05-20 Pedro Ramírez-González , Magdaleno Medina-Noyola

We study the nonequilibrium dynamics of the $q$-state Potts model following a quench from the high temperature disordered phase to zero temperature. The time dependent two-point correlation functions of the order parameter field satisfy…

凝聚态物理 · 物理学 2009-10-28 Clement Sire , Satya N. Majumdar

We study the critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy in the out-of-equilibrium and equilibrium regimes. Analytical approaches based on field theory predict that the universality class of this…

无序系统与神经网络 · 物理学 2025-08-04 A. Astillero , J. J. Ruiz-Lorenzo

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Ising and XY models with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic…

无序系统与神经网络 · 物理学 2007-09-10 V. Prudnikov , P. Prudnikov , B. Zheng , S. Dorofeev , V. Kolesnikov

We study the two-dimensional contact process (CP) with quenched disorder (DCP), and determine the static critical exponents beta and nu_perp. The dynamic behavior is incompatible with scaling, as applied to models (such as the pure CP) that…

统计力学 · 物理学 2009-10-30 Ronald Dickman , Adriana G. Moreira

We introduce a rejection-free continuous-time kinetic Monte Carlo framework to study stochastic systems governed by multiple concurrent dynamical mechanisms. In this approach, the relative activity of each dynamical channel emerges…

统计力学 · 物理学 2026-03-31 R. A. Dumer , M. Godoy , J. F. F. Mendes

The finite-size scaling method in the equilibrium Monte Carlo(MC) simulations and the finite-time scaling method in the nonequilibrium-relaxation simulations are compromised. MC time data of various physical quantities are scaled by the MC…

统计力学 · 物理学 2010-08-02 Tota Nakamura

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

统计力学 · 物理学 2015-06-05 Hyunhang Park , Michel Pleimling